WorldCat Identities

PLEASE NOTE: This Identity has been been retired and is no longer being kept current.

Serre, Jean-Pierre Mathematiker, Frankreich 1926 -

Works: 10 works in 27 publications in 3 languages and 83 library holdings
Genres: Records and correspondence  Sources  History 
Roles: Author
Classifications: QA3, 512.2
Publication Timeline
Most widely held works by Jean-Pierre Serre
Galois cohomology by Jean-Pierre Serre( Book )

10 editions published between 1964 and 1997 in French and German and held by 20 WorldCat member libraries worldwide

Lie algebras and Lie groups; 1964 lectures given at Harvard University by Jean-Pierre Serre( Book )

5 editions published between 1965 and 2006 in English and held by 13 WorldCat member libraries worldwide

This book reproduces J-P. Serre's 1964 Harvard lectures. The aim is to introduce the reader to the "Lie dictionary": Lie algebras and Lie groups. Special features of the presentation are its emphasis on formal groups (in the Lie group part) and the use of analytic manifolds on p-adic fields. Some knowledge of algebra and calculus is required of the reader, but the text is easily accessible to graduate students, and to mathematicians at large
Trees by Jean-Pierre Serre( Book )

2 editions published between 1977 and 2003 in French and English and held by 9 WorldCat member libraries worldwide

The present book is an English translation of "Arbres, Amalgames, SL(2)", published in 1977 by J-P. Serre, and written with the collaboration of H. Bass. The first chapter describes the "arboreal dictionary" between graphs of groups and group actions on trees. The second chapter gives applications to the Bruhat-Tits tree of SL(2) over a local field
Gesammelte Abhandlungen by Ferdinand Georg Frobenius( Book )

in German and held by 7 WorldCat member libraries worldwide

Die De Rham Kohomologie algebraischer Mannigfaltigkeiten über einem bewerteten Körper by Reinhardt Kiehl( Book )

1 edition published in 1967 in German and held by 6 WorldCat member libraries worldwide

Algèbres de Lie semi-simples complexes by Jean-Pierre Serre( Book )

2 editions published between 1966 and 2001 in English and held by 6 WorldCat member libraries worldwide

These short notes, already well-known in their original French edition, give the basic theory of semisimple Lie algebras over the complex numbers, including classification theorem. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups; it is intended to guide the reader towards further study
Exposés de séminaires, 1950-1999 by Jean-Pierre Serre( Book )

2 editions published between 2007 and 2008 in French and held by 4 WorldCat member libraries worldwide

Linear representations of finite groups by Jean-Pierre Serre( Book )

2 editions published between 1977 and 1982 in French and English and held by 3 WorldCat member libraries worldwide

This book consists of three parts, rather different in level and purpose. The first part was originally written for quantum chemists. It describes the correspondence, due to Frobenius, between linear representations and characters. This is a fundamental result of constant use in mathematics as well as in quantum chemistry or physics. The examples in this part are chosen from those useful to chemists. The second part is a course given in 1966 to second-year students of l'Ecole Normale. It completes in a certain sense the first part. The third part is an introduction to Brauer Theory. Several Applications to the Artin representation are given
Grothendieck-Serre correspondence by A Grothendieck( Book )

1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide

"The book is a bilingual (French and English) edition of the mathematical correspondence between A. Grothendieck and J.-P. Serre. The original French text of 84 letters is supplemented here by the English translation, with French text printed on the left-hand pages and the corresponding English text printed on the right-hand pages. The book also includes several facsimiles of original letters." "The letters presented in the book were mainly written between 1955 and 1965. During this period, algebraic geometry went through a remarkable transformation, and Grothendieck and Serre were among central figures in this process. The reader can follow the creation of some of the most important notions of modern mathematics, like sheaf cohomology, schernes, Riemann-Roch type theorems, algebraic fundamental group, motives. The letters also reflect the mathematical and political atmosphere of this period (Bourbaki, Paris, Harvard, Princeton, war in Algeria, etc.) Also included are a few letters written between 1984 and 1987. The letters are supplemented by J.-P. Serre's notes, which give explanations, corrections, and references further results." "The book should be useful to specialists in algebraic geometry, in history of mathematics, and to all mathematicians who want to understand how great mathematics is created."--BOOK JACKET
Lectures on Nx(p) by Jean-Pierre Serre( Book )

1 edition published in 2012 in English and held by 1 WorldCat member library worldwide

"This book deals with the question on how N_X(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-acic cohomology and group representations, presented in a context that is appealing to specialists in number theory and algebraic geometry."
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.69 (from 0.58 for Linear rep ... to 0.80 for Die De Rha ...)

French (12)

English (11)

German (4)